Finding the Third Proportional to 105,064 and 157,596

Step by Step Solution

1. Step 1: Write the proportion equation
   105,064 : 157,596 = 157,596 : x
2. Step 2: Convert to fraction form
   105,064/157,596 = 157,596/x
3. Step 3: Cross multiply
   105,064x = 157,596 × 157,596
4. Step 4: Simplify right side
   105,064x = 24,836,499,216
5. Step 5: Solve for x
   x = 24,836,499,216/105,064
6. Step 6: Final answer
   x = 236,394